# Introduction to Probability and Data with R

Course
en
English
80 h
This content is rated 4.08335 out of 5
Source
• From www.coursera.org
Conditions
• Self-paced
• Free Access
• Fee-based Certificate
• 10 Sequences
• Introductive Level

## Course details

### Syllabus

Week 1: Unit 1 - Introduction to data
• Part 1 โ Designing studies
• Part 2 โ Exploratory data analysis
• Part 3 โ Introduction to inference via simulation
Week 2: Unit 2 - Probability and distributions
• Part 1 โ Defining probability
• Part 2 โ Conditional probability
• Part 3 โ Normal distribution
• Part 4 โ Binomial distribution
Week 3: Unit 3 - Foundations for inference
• Part 1 โ Variability in estimates and the Central Limit Theorem
• Part 2 โ Confidence intervals
• Part 3 โ Hypothesis tests
Week 4: Finish up Unit 3 + Midterm
• Part 4 โ Inference for other estimators
• Part 5 - Decision errors, significance, and confidence
Week 5: Unit 4 - Inference for numerical variables
• Part 1 โ t-inference
• Part 2 โ Power
• Part 3 โ Comparing three or more means (ANOVA)
• Part 4 โ Simulation based inference for means
Week 6: Unit 5 - Inference for categorical variables
• Part 1 โ Single proportion
• Part 2 โ Comparing two proportions
• Part 3 โ Inference for proportions via simulation
• Part 4 โ Comparing three or more proportions (Chi-square)
Week 7: Unit 6 - Introduction to linear regression
• Part 1 โ Relationship between two numerical variables
• Part 2 โ Linear regression with a single predictor
• Part 3ย โย Outliers in linear regression
• Part 4 โ Inference for linear regression
Week 8: Unit 7 - Multiple linear regression
• Part 1 โ Regression with multiple predictors
• Part 2ย โย Inference for multiple linear regression
• Part 3 โ Model selection
• Part 4ย โย Model diagnostics
Week 9: Review / catch-up week
• Bayesian vs. frequentist inference
Week 10: Final exam

None.

### Instructors

• Mine รetinkaya-Rundel - Department of Statistical Science

### Editor

Duke University is a private North American research university located in Durham, North Carolina. The university is named after the Duke dynasty.ย

Although the university was not officially founded until 1924 (its roots go back to 1838). Frequently referred to as the "Harvard of the South", Duke is the most selective university in the American South.ย

The university is a member of the Association of American Universities, an association which, since 1900, has brought together the elite research universities of North America.

### Platform

Coursera is a digital company offering massive open online course founded by computer teachers Andrew Ng and Daphne Koller Stanford University, located in Mountain View, California.ย

Coursera works with top universities and organizations to make some of their courses available online, and offers courses in many subjects, including: physics, engineering, humanities, medicine, biology, social sciences, mathematics, business, computer science, digital marketing, data science, and other subjects.

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